Chi Square Review

Find the degrees of freedom.

• 4
• 5
• 6
• 7

The table shows the number or babies born on each day of the week.  Is there evidence that births are more likely on specific days of the week?

• yes, the p value is greater than .05
• no, the p value is less than .05
• yes, the p value is less than .05
• no, the p value is greater than .05

What must be true about the expected values in a chi square test?

• greater than or equal to 2
• greater than or equal to 5
• greater than or equal to 10
• greater than or equal to 30

Which test would you use .... In 1974, each acre of the Tahoe basin was assessed to see what condition the soil was in.  23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV.  This year the region was assessed again and the number of each type were again determined.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Which test would you use to see if people on computers and people on handhelds use the same Internet search engines?  1000 web searches from a computer and 1500 web searches from a hand held were tracked to see what search engine was used.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Which test would you use to see if gender is a factor choosing a person’s favorite fruit?  900 college students were surveyed and their favorite fruit recorded.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Tags

CCSS.HSS.IC.B.3

Which test would you use to see whether the fans that buy tickets are demographically the same as the general population of the city.  Currently 42% are Caucasian, 35% are Hispanic, 12% are African American, 8% are Asian, and the rest are defined as other.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Tags

CCSS.HSS.IC.B.3

What are the expected counts of a female who likes Pepsi?

• 10.5
• 11
• 14.5
• 6.3

Tags

CCSS.HSS.MD.A.2

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the following school year.  She wants to know if each type of food will be equally popular so she can start ordering supplies.  To find out, she selects a random sample of 100 students and asks them, "Which type of food do you prefer: Asian food, Mexican food, pizza, or hamburgers?"  Here are the data in the table provided.  Identify the p-value and decide which of the following is the most appropriate conclusion?

• Because 0.0129 is less than α = 0.05, fail to reject H₀.  There is convincing evidence that the food choices are equally popular.
• Because 0.0129 is less than α = 0.05, reject H₀.  There is convincing evidence that the food choices are not equally popular.
• Because 0.0289 is less than α = 0.05, reject H₀.  There is convincing evidence that the food choices are not equally popular.
• Because 0.0289 is less than α = 0.05, fail to reject H₀.  There is not convincing evidence that the food choices are equally popular.

Tags

CCSS.HSS.IC.B.4

A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely).  The spinner is spun 100 times, and the results are recorded.  The degrees of freedom for the test will be

• 8
• 9
• 10
• 99